A force is applied to a 30-kg object, resulting in an acceleration of 15 m/s. What is the force being applied to the object?

Answers

Answer 1
Answer: The sum of all forces applied to the object = (mass) x (acceleration)

The sum of all forces applied to the object = (30) x (15)

= 450 newtons, in the direction of the acceleration.
 
Answer 2
Answer: From Second Newton's Law:

F=a*m
a=15 (m)/( s^(2) )
m=30kg

F=15 (m)/( s^(2) )*30kg=450N

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The gun, mount, and train car of a railway had a total mass of 1.22 x 10^6 kg. The gun fired a projectile that was 80 cm in diameter and weighed 7502 kg. In the firing, the gun has been elevated 20 degrees above the horizontal. If the railway gun at rest before firing and moved to the right at a speed of 4.68 m/s immediately after firing, what was the speed of the projectile as it left the barrel (muzzle velocity)? How far will the projectile travel if air resistance is neglected? Assume that the wheel axles are frictionless.

Answers

1) According to the law of conservation of momentum .. 
Horiz recoil mom of gun (M x v) = horiz. mon acquired by shell (m x Vh) 

1.22^6kg x 5.0 m/s = 7502kg x Vh 
Vh = 1.22^6 x 5 / 7502 .. .. Vh = 813 m/s 

Barrel velocity V .. .. cos20 = Vh / V .. ..V = 813 /cos20 .. .. ►V = 865 m/s 

2) Using the standard range equation .. R = u² sin2θ /g 

R = 865² x sin40 / 9.80 .. .. ►R = 49077 m .. (49 km)

As a longitudinal wave travels through a medium, it displaces the particles . parallel to the direction which the wave travels.b. along the opposite plane of travel.
c. vertically along the direction that the wave travels.
d. perpendicular to the path of travel.

Answers

As a longitudinal wave travels through a medium, it displaces the particles parallel to the direction which the wave travels.

What is longitudinal wave?

This type of waves are vibrations that takes place in the same direction i.e parallel to the wave motion. They are usually mechanical and examples include sound waves which requires a medium.

A longitudinal wave is a form of wave in which the displacement of the medium and the medium's vibration are both parallel to the direction of the wave.

A longitudinal wave moves the particles parallel to its direction of passage as it passes through a material.

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Answer:

A- Parallel to tge direction which the wave travels

Explanation:

An internal combustion engine uses fuel, of energy content 44.4 MJ/kg, at a rate of 5 kg/h. If the efficiency is 28%, determine the power output and the rate of heat rejection

Answers

Efficiency =  Power Output / Power Input

Power Input = Rate of Energy input = 44.4 MJ/kg * 5 kg/h

 = 222 MJ/h

But 1 hour = 3600seconds

222 MJ/h = 222 MJ/3600s =  0.061667 MW              J/s = Watts

Power input = 0.061667 MW = 61 667 W

From  Efficiency =  Power Output / Power Input

   28% =  Power Output / 61667

   Power Output = 0.28 * 61667

   Power Output = 17266.76 W
 
  Power Output = 17 267 W

 Rate of heat Rejection = Power input - Power output

                                        = 61667 - 17267 = 44400 W

Rate of heat Rejection = 44 400 W.


C- Copyright.

Example of a single displacement reaction is

Answers

The reaction of zinc withhydrochloric acid. Zn + 2HCl → H2 + ZnCl2. In here, zinc, an element, willreplace the halogen chlorine in the compound hydrochloric acid to form ahydrogen gas and zinc chloride molecule.

At what distance from a long, straight wire carrying a current of 8.7 A is the magnetic field due to the wire equal to the strength of Earth’s field, approximately 5.4 × 10−5 T? The permeabilty of free space is 1.25664 × 10−6 T · m/A. Answer in units of cm.

Answers

Answer:

r= 3.2 cm

Explanation:

Given that

I= 8.7 A

B= 5.4 x 10⁻⁵ T

μo=1.25664 x 10⁻⁶

We know that magnetic filed in wire at a distance r given as

B=(\mu_oI)/(2\pi r)

r=(\mu_oI)/(2\pi B)

By putting the values

r=(1.25664* 10^(-6)* 8.7)/(2* \pi * 5.4* 10^(-5))\ m

r=0.032 m

r= 3.2 cm

Final answer:

The distance from a long straight wire at which the magnetic field equals the strength of Earth’s field, given a current of 8.7 A and Earth's field of 5.4 × 10−5 T, can be calculated using the formula for the magnetic field around a current-carrying wire. Substituting the given values, the answer is approximately 37.22 cm.

Explanation:

To solve this physics problem, we will use the formula for the magnetic field produced by a current carrying long, straight wire. The formula is: B = μI / (2πr), where 'B' is the magnetic field strength, 'μ' is the permeability of free space, 'I' is the current, and 'r' is the radial distance away from the wire.

In this case, Earth’s magnetic field, 'B', is given as 5.4 × 10−5 T, the current, 'I', is given as 8.7 A, and the permeability of free space, 'μ', is given as 1.25664 × 10−6 T · m/A. We need to find 'r', the distance away from the wire, and we want this answer in centimeters.

So, rearrange the formula to solve for 'r': r = μI / (2πB).

Substitute our known values into the equation: r = (1.25664 × 10−6 T · m/A × 8.7 A) / (2π × 5.4 × 10^-5 T). After calculating, we need to convert from meters to centimeters by multiplying by 100. The final answer is approximately 37.22 cm.

Learn more about Magnetic Field Calculation here:

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What is happening if energy input remains constant and voltage remains the same in a circuit, but the current decreases?The resistance has increased.
The volts have decreased.
The power has increased.

Answers

If energy input remains constant and voltage remains the same in a circuit, but the current decreases, the power has increased. It is presented in the equation P = VI where P is power, V is voltage and I is current.