Calculating Force and Magnitude of Pulling 400kg Cart up Hill

In summary, the person is pulling a cart with 400 kg of mass inside using 10 N of force. According to Newton's third law, for every action there is an equal and opposite reaction. Therefore, the force on the person due to the cart is also 10 N.
  • #1
whitehorsey
192
0
1. A person is pulling a heavy cart up a hill. The cart has 400 kg of mass inside it. The person is pulling the cart with 10 N of force. What is the magnitude of the force on the person due to the cart?


3. Is it 4000N?
 
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  • #2
What does Newtons third law say about people exerting a force on a cart?
 
  • #3
CWatters said:
What does Newtons third law say about people exerting a force on a cart?

For every action there is an equal and opposite reaction.
 
  • #4
Correct.

The question states that the person exerts a force of 10N on the cart so apply Newtons third law to work out how much force the cart exerts on the person.
 
  • #5
Thanks!
 

Related to Calculating Force and Magnitude of Pulling 400kg Cart up Hill

1. How do you calculate the force needed to pull a 400kg cart up a hill?

The force needed to pull a 400kg cart up a hill can be calculated using the formula F = mgh, where F is the force in newtons, m is the mass of the cart in kilograms, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the hill in meters. Simply plug in the values and solve for F to determine the force needed.

2. What is the magnitude of the force required to pull a 400kg cart up a hill?

The magnitude of the force required to pull a 400kg cart up a hill is the same as the force calculated in the previous question. It is the amount of force needed to overcome the combined effects of gravity and friction to move the cart up the hill.

3. How does the slope of the hill affect the force needed to pull a 400kg cart?

The slope of the hill has a direct impact on the force needed to pull a 400kg cart. The steeper the slope, the greater the force needed to overcome the effects of gravity and friction. This is because the steeper the slope, the greater the height that the cart needs to be pulled up, resulting in a larger value for h in the force equation.

4. Can you use any unit for the mass and height in the force equation for pulling a 400kg cart up a hill?

No, the units for mass must be in kilograms and the units for height must be in meters in order for the force equation to be accurate. Using different units may result in an incorrect calculation of the force needed.

5. Is there a minimum force required to pull a 400kg cart up a hill?

Yes, there is a minimum force required to pull a 400kg cart up a hill. This minimum force is equal to the weight of the cart (m*g) and is needed to overcome the force of gravity pulling the cart down the hill. Any additional force is needed to overcome the effects of friction and move the cart up the hill.

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