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navik
4 months ago
8

Consider a box sitting in the back of a pickup. The pickup accelerates to the right, and because the bed of the pickup is sticky

, the box does not slide around the truck when this happens.What direction is the force acting on the box due to the truck?
Physics
2 answers:
Yuliya22 [3.3K]4 months ago
8 0

Explanation:

Relative to the truck, the box appears stationary. The force exerted on the box by the truck also aligns with the truck's direction of motion. However, the box doesn't shift because of friction created by the sticky surface. This results in a net force of zero on the box from the truck's perspective.

From an external viewpoint, the net force on the box is directed in the same way as the truck's acceleration, meaning it acts to the right.

Sav [3.1K]4 months ago
7 0
The pickup truck accelerates to the right. The box adheres to the truck, resulting in identical acceleration to the right. Its inertia, however, opposes this acceleration, acting to the left. Therefore, for the box to stay in place, the truck must exert a force to the right. (The forces exerted by the truck and the box's inertia counterbalance each other).
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Compressed air is used to fire a 60 g ball vertically upward from a 0.70-m-tall tube. The air exerts an upward force of 3.0 N on
Yuliya22 [3333]

Answer:

2.87 m

Explanation:

Given parameters:

Mass of the ball (m) = 60 g = 0.06 kg

Height of the tube (h) = 0.70 m

Force applied on the ball by compressed air (F) = 3.0 N

Initial velocity of the ball (u) = 0 m/s (Assumed)

Final velocity of the ball at the tube's exit (v) =?

Acceleration of the ball (a) =?

The ball's weight is derived from multiplying mass and gravity. Therefore,

Weight (W) = mg=0.06\times 9.8=0.588\ N

Thus, the total force acting on the ball equals the net of upward force minus the weight.

Net force = Air force - Weight

F_{net}=F-mg\\F_{net}=3.0-0.588 = 2.412\ N

According to Newton's second law, net force equals the mass multiplied by acceleration.

F_{net}=ma\\\\a=\frac{F_{net}}{m}=\frac{2.412\ N}{0.06\ kg}=40.2\ m/s^2

Acceleration (a) is calculated as 40.2 m/s².

Using the motion equation, we find:

v^2=u^2+2ah\\\\v^2=0+2\times 40.2\times 0.7\\\\v=\sqrt{56.28}=7.5\ m/s

Let’s denote the maximum height achieved as 'H'.

Next, we apply the principle of energy conservation from the pipe's peak to the maximum height.

A decrease in kinetic energy equals an increase in potential energy.

\frac{1}{2}mv^2=mgH\\\\H=\frac{v^2}{2g}

Substituting the values, we solve for 'H', yielding:

H=\frac{56.28}{2\times 9.8}\\\\H=\frac{56.28}{19.6}=2.87\ m

Hence, the ball ascends to a height of 2.87 m above the top of the tube.

6 0
3 months ago
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