jabu phuses a cart that is of mass 5kg with a speed of 1m,s she suddenly increase the force acting on the cart to move 2m,s for a distance of 50m

(a)calculate the force causing the cart to speed up

This is a most flawed problem. Perhaps the author has a different understanding of friction than I.

To calculate the force causing the cart to speed up, we can use Newton's second law of motion, which states that force (F) is equal to the mass (m) times acceleration (a). In this case, acceleration can be determined by calculating the change in velocity over time.

First, let's calculate the initial acceleration of the cart when it is moving at a speed of 1 m/s. Initially, the cart is moving with a constant velocity, so the acceleration is 0 m/s^2.

Next, we need to calculate the final acceleration of the cart when it is moving at a speed of 2 m/s. We can determine the change in velocity by subtracting the initial velocity (1 m/s) from the final velocity (2 m/s). Therefore, the change in velocity is 2 m/s - 1 m/s = 1 m/s.

Finally, we need to calculate the force. The formula F = m * a tells us that force is equal to mass times acceleration. The mass of the cart is given as 5 kg, and the acceleration is 1 m/s^2. Therefore, F = 5 kg * 1 m/s^2 = 5 N.

So, the force causing the cart to speed up is 5 Newtons.