A 70kg divers steps off of a 10m tower and drops from rest straight into the water. If he comes to rest 5m beneath the surface, determine the average resistance force exerted on him by the water.
Answers
K E= m g h
h = 10 m, d = 5 m.
m g ( h + d ) - F d = 0
m g ( h + d ) = F d
70 * 9.8 * 15 = F * 5
10,290 = 5 F
F = 10,290 : 5
F = 2,058 N
First, we need to calculate the total distance that the diver travelled. The diver jumped off a 10-meter tower and went 5 meters under the water. Therefore, the total distance travelled by the diver is 10 meters (from the tower) plus 5 meters (underwater), which equals 15 meters.
Next, we will determine the work done on the diver. The work done is equal to the change in potential energy, which can be calculated by multiplying the diver's mass by gravity and then by the total distance the diver travelled. Given that the diver's mass is 70kg and the acceleration due to gravity is 9.8m/s², the work done is 70kg * 9.8m/s² * 15m, which equals 10290 Joules.
Finally, we'll find the average resistance force exerted on the diver by the water. The work done on the diver is also equal to the average force times the distance. Therefore, the average force is the work done divided by the distance. When you divide the work done (10290 Joules) by the total distance travelled (15 meters), you get an average force of 686 Newtons.
Hence, the total distance travelled by the diver in water is 5 meters, the work done on the diver is 10290 Joules, and the average resistance force exerted on the diver by the water is 2058 Newtons.
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Answers
Final answer:
In this physics problem, by using the equation of motion, it was found that the time taken for a free falling object (under gravity and ignoring air resistance) to fall the second half of its total distance (t2) is sqrt(3) times greater than the time taken to fall the first half (t1).
Explanation:
This question falls under the category of Physics, and represents a common problem in the study of kinematics. To answer, we first define the two halves of the journey of the falling rock. We're given that the rock covers the first half distance in t1 time and the second half distance in t2 time. Since the falling object is under the influence of gravity (ignoring air resistance), it accelerates during its descent. Therefore, t2 > t1 or t2/t1 > 1.
A classical physics equation we can use is s = ut + 0.5at^2, where 's' represents distance, 'u' is the initial velocity, 'a' is the acceleration, and 't' is the time. Since the rock is dropped, the initial velocity 'u' is 0. Hence, the equation become 's = 0.5at^2'
Since the rock is being dropped, it falls under constant acceleration due to gravity (approximated as 9.8m/s^2). For the first half of the drop, the distance is s/2 = 0.5*g*(t1)^2, and for the second half of the drop, the distance is s/2 = 0.5*g*(t2)^2.
Solving these equations can help us find the relationship between t1 and t2. If we solve for t2 in terms of t1, keeping in mind that total distance (s) and acceleration due to gravity (g) remain the same in both cases, we obtain t2 = sqrt(3)*t1 approximately, i.e., t2/t1 = sqrt(3).
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Answers
Answer:
Explanation:
Given
Kinetic energy varies jointly as mass and square of velocity
for
for
Divide 1 & 2 we get
Final answer:
Kinetic energy is proportional to mass and the square of velocity. It can be calculated for different masses and velocities using a constant derived from specific known values.
Explanation:
The principle of kinetic energy states that kinetic energy is directly proportional to mass and the square of velocity. Therefore, we can use the equation Kinetic Energy = 0.5 * Mass * Velocity^2 to calculate kinetic energy.
In this example, a mass of 15 grams and a velocity of 3 cm/s generates a kinetic energy of 27 ergs. By this equation, we derive a constant K. For a mass of 5 grams and a velocity of 9 cm/s, we can easily find the kinetic energy using this K value and multiplying it with the given mass and the square of the velocity.
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Answers
-- Buoyancy is used to bring crude oil from Saudi Arabi to refineries in the US. The oil is loaded into tanks that are part of supertanker ships. Buoyancy is created by their ship-shape, so they float on water, and they can be dragged across the ocean on top of the water.
-- Buoyancy is used for a cheap thrill on the weekend. People drive out in the country and find a place where they can buy a ride under a hot-air balloon. The balloon is filled with hot air from a propane burner under its opening, and then it rises up off the ground because of its buoyancy in cool air.
-- Buoyancy is used cleverly by factories, to get rid of their gaseous and particulate wastes. The wastes are heated, and then blown into tall "smokestacks" connected to the factory. Then they rise because of the buoyancy created by hot stuff in cool air. When they leave the top of the smokestack, they keep rising for a while. Then, weather systems blow them away from the factory, over into other people's neighborhoods, where they finally sink to the ground in places where nobody knows where they came from.
-- Buoyancy is used in teapots, coffee makers, and lava lamps. A heat source is placed under the bottom of the container. Heat is conducted through the bottom of the container, and it heats the fluid that's in contact with the inside of the container on the bottom. The hot fluid rises to the top of the container, because of the buoyancy created by hot stuff surrounded by cool stuff. At the same time, cool stuff flows in to take its place at the bottom.
In pots and pans and tanks where buoyancy is used this way, the motion of the fluids up and down and around is called "convection".
Answer:
to mack boats float
Explanation:
without it the boats will sink to the bottom
Answers
Answer:
Vf = 34.3 m/s
1st equation of motion was used to solve.
Explanation:
In order to find the final speed of the cow, when it hits the bushes, we can use first equation of motion:
Vf = Vi + gt
where,
Vf = Final Velocity of Cow = ?
Vi = Initial Velocity of Cow = 0 m/s
g = acceleration due to gravity = 9.8 m/s²
t = time taken = 3.5 s
Therefore,
Vf = 0 m/s + (9.8 m/s²)(3.5 s)
Vf = 34.3 m/s
1st equation of motion was used to solve.
Answers
Force is needed to change the speed or direction of an object moving at a constant speed.
We have an object is moving at a constant speed in one direction.
We have to determine what is needed to change its speed or direction.
Is Speed scalar or vector quantity ?
Speed is a scalar quantity as it has only magnitude and no direction.
According to the question, we have -
An object is moving at a constant speed in one direction. Now in order to change its speed or direction we need something to change its current state in which it is moving with constant speed in one direction. According to Newton's first law of motion, any body continues to be in its current state, unless some external force is applied on it. Hence, a certain amount of Force is needed in order to change its speed or direction.
Hence, Force is needed to change the speed or direction of an object moving at a constant speed.
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Any considerable amount of force is needed to change the speed of an object, if it is moving with constant speed in one direction. If the force applied is in the same direction in which an object is moving, speed of the object will increase. If force is in opposite direction of the motion, speed of object will decrease. If force is always perpendicular to the direction of motion of an object, it will move in a circle.
Further explanation:
Newton’s first law states that an object will remain in its initial state of the motion until and unless an external force is applied on the object. It means, object will remain in motion if it was in motion and it will remain at rest if it was initially at rest until and unless an external force is applied on the object.
Given:
An object is moving at a constant speed in one direction.
Concept:
Acceleration is defined as the rate of change of velocity with respect to time. Acceleration will be zero if change in the velocity with time is zero.
We know that velocity is a vector quantity because it has magnitude as well as the direction.
In the question object is moving in one direction, therefore direction is not changing with time, and also the magnitude of the velocity of an object is constant. So the acceleration of the object is zero.
Acceleration is caused due to the force. If all the forces on the object are in equilibrium, the net force on the object will be zero and acceleration of object will also be zero.
Now if we want to change the speed or direction of the object, it is needed to exert an external force on the object. If a net force is exerted on the object, it will be subjected to an acceleration which causes change in speed or change of direction of the object.
Thus, any considerable amount of external force is needed to change the speed or direction of the object.
Learn More:
1. A 30kg block being pulled across a carpeted floor brainly.com/question/7031524
2. Net force acting on a 200kg refrigerator brainly.com/question/7031524
3. Max and Maya are riding on a merry-go-round brainly.com/question/8444623
Answer Details:
Grade: High School
Subject: Physics
Chapter: Laws of motion
Keywords:
Object, moving, constant, speed, one, direction, needed, change, speed, direction, considerable, force, acceleration, zero acceleration.
Answers
meanwhile, cylinder is a solid figure ( 3-dimensional, can be filled with volume)
They both have the same relationship because in order to build a cylinder , you need two circles ( at the top and the bottom), and the size of that circles will directly affected the cylinder's volume