Question 6
Trial Force (N) Acceleration (m/s^2)
1 1 0 N 2.5
2 12 3
3 22 5.5
Students are running an experiment in which they are measuring the acceleration after applying forces to a cart. Using the data above, what is the mass of the cart?
a
2 kg
b
4 kg
c
6 kg
d
8 kg
To calculate the mass of the cart, we can use the formula F = m * a, where F is the force applied, m is the mass, and a is the acceleration.
From the given data, we can see that:
For Trial 1: Force = 10 N, Acceleration = 2.5 m/s^2
For Trial 2: Force = 12 N, Acceleration = 3 m/s^2
For Trial 3: Force = 22 N, Acceleration = 5.5 m/s^2
Let's use the formula for each trial to find the mass:
For Trial 1: 10 N = m * 2.5 m/s^2 -> m = 10 N / 2.5 m/s^2 = 4 kg
For Trial 2: 12 N = m * 3 m/s^2 -> m = 12 N / 3 m/s^2 = 4 kg
For Trial 3: 22 N = m * 5.5 m/s^2 -> m = 22 N / 5.5 m/s^2 = 4 kg
From all of the trials, we consistently get a mass of 4 kg. Therefore, the mass of the cart is 4 kg.
So the answer is b) 4 kg.