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A 15 kg cart is pushed with a force of 60 N. If the frictional force opposing th
A 15 kg cart is pushed with a force of 60 N. If the frictional force opposing the motion is 15 N, what is the acceleration of the cart?
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Q1
A 15 kg cart is pushed with a force of 60 N. If the frictional force opposing the motion is 15 N, what is the acceleration of the cart?
2 m/s²
3 m/s²
4 m/s²
5 m/s²
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Net force = 60 N - 15 N = 45 N. Using F = ma, a = F/m = 45 N / 15 kg = 3 m/s².
Questions & Step-by-step Solutions
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Q
Q: A 15 kg cart is pushed with a force of 60 N. If the frictional force opposing the motion is 15 N, what is the acceleration of the cart?
Solution:
Net force = 60 N - 15 N = 45 N. Using F = ma, a = F/m = 45 N / 15 kg = 3 m/s².
Steps: 6
Show Steps
Step 1: Identify the total force applied to the cart, which is 60 N.
Step 2: Identify the frictional force opposing the motion, which is 15 N.
Step 3: Calculate the net force by subtracting the frictional force from the applied force: 60 N - 15 N = 45 N.
Step 4: Use the formula for acceleration, which is a = F/m, where F is the net force and m is the mass of the cart.
Step 5: Substitute the values into the formula: a = 45 N / 15 kg.
Step 6: Calculate the acceleration: 45 N / 15 kg = 3 m/s².
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