How can air particles be trapped for investigation? (Subject: Science)

a) 4 forces

b) 186 N

c) 246 N

Explanation:

a)

Let's count the forces acting on the bicylist:

1) Weight (): this is the gravitational force exerted on the bicyclist by the Earth, which pulls the bicyclist towards the Earth's centre; so, this force acts downward (m = mass of the bicyclist, g = acceleration due to gravity)

2) Normal reaction (N): this is the reaction force exerted by the road on the bicyclist. This force acts vertically upward, and it balances the weight, so its magnitude is equal to the weight of the bicyclist, and its direction is opposite

3) Applied force (): this is the force exerted by the bicylicist to push the bike forward. Its direction is forward

4) Air drag (): this is the force exerted by the air on the bicyclist and resisting the motion of the bike; its direction is opposite to the motion of the bike, so it is in the backward direction

So, we have 4 forces in total.

b)

Here we can find the net force on the bicyclist by using Newton's second law of motion, which states that the net force acting on a body is equal to the product between the mass of the body and its acceleration:

where

is the net force

m is the mass of the body

a is its acceleration

In this problem we have:

m = 60 kg is the mass of the bicyclist

is its acceleration

Substituting, we find the net force on the bicyclist:

c)

We can write the net force acting on the bicyclist in the horizontal direction as the resultant of the two forces acting along this direction, so:

where:

is the net force

is the applied force (forward)

is the air drag (backward)

In this problem we have:

is the net force (found in part b)

is the magnitude of the air drag

Solving for , we find the force produced by the bicyclist while pedaling:

Answer: The answer to the question "what works all the time but never sleeps" can vary depending on the context or interpretation. Here are a few possible answers:

Explanation:

1. A machine or technology: Machines such as computers, servers, or automated systems can work continuously without needing sleep. They can perform tasks, process information, or operate machinery 24/7.

2. The human brain: While humans do need sleep for rest and rejuvenation, the brain never stops working. Even during sleep, the brain continues to regulate bodily functions, process information, and even dream.

3. Nature: The natural world is constantly active and functioning. For example, plants continue to photosynthesize, animals continue to move and hunt, and ecosystems continue to interact and evolve, even during the night.

4. Time: Time is always progressing and never stops. The concept of time keeps working, and events and processes occur continuously, regardless of day or night.

These are just a few possible answers. The correct response may depend on the specific context or intended interpretation of the question.

Answer: A man

Explanation:

A man works all day and never gets the chance to sleep.

For vertical motion, use the following kinematics equation:

H(t) = X + Vt + 0.5At²

H(t) is the height of the ball at any point in time t for t ≥ 0s

X is the initial height

V is the initial vertical velocity

A is the constant vertical acceleration

Given values:

X = 1.4m

V = 0m/s (starting from free fall)

A = -9.81m/s² (downward acceleration due to gravity near the earth's surface)

Plug in these values to get H(t):

H(t) = 1.4 + 0t - 4.905t²

H(t) = 1.4 - 4.905t²

We want to calculate when the ball hits the ground, i.e. find a time t when H(t) = 0m, so let us substitute H(t) = 0 into the equation and solve for t:

1.4 - 4.905t² = 0

4.905t² = 1.4

t² = 0.2854

t = ±0.5342s

Reject t = -0.5342s because this doesn't make sense within the context of the problem (we only let t ≥ 0s for the ball's motion H(t))

t = 0.53s

Answer:0.53s

Explanation:

The mass of the copper coin placed in 101g of water is 135.3g.

COLORIMETER:

The mass of the copper coin can be calculated using the following expression:

Since; Q = mc∆T

Where;

• Q = heat absorbed or released
• m = mass of substance
• c = specific heat capacity of substance
• ∆T = change in temperature
• mc∆T (water) = mc∆T (copper)

According to the question;

COPPER METAL:

• m = ?
• c = 0.385 J/g°C
• ∆T = 68°C

WATER:

m = 101g

c = 4.18 J/g°C

∆T = 8.39°C

⇒ 101 × 4.18 × 8.39 = (0.385 × m × 68)

⇒ 3542.09 = 26.18m

⇒ m = 3542.09 ÷ 26.18

⇒ m = 135.3g

Therefore, the mass of the copper coin placed in 101g of water is 135.3g.

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Answer:

135g

Explanation:

50 percent will be Rr

25 percent will have wrinkled seeds

The following information should be considered:

• In the case when there is peaplants, roundseeds are dominant over wrinkled seeds.
• So at the time of two hybrids are crossed so there should be 50% as Rr and  25% should be wrinkled seeds.

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