Final answer:
The force of friction acting on the sliding crate is 59.3 N, which is calculated by multiplying the normal force by the coefficient of kinetic friction.
Step-by-step explanation:
To find the amount of friction acting on the crate while it is sliding, we first need to calculate the normal force. The normal force (N) is equal to the weight of the crate, which is the mass (m) times the acceleration due to gravity (g), hence N = m * g. In this case, the mass (m) of the crate is 24.2 kg, and assuming the standard acceleration due to gravity is 9.8 m/s², the normal force is N = 24.2 kg * 9.8 m/s².
Normal force, N = 24.2 kg * 9.8 m/s² = 237.16 N
Then the force of kinetic friction (fₖ) can be calculated using the coefficient of kinetic friction (μₖ) by multiplying it with the normal force, fₖ = μₖ * N. Given that the coefficient of kinetic friction is 0.25, we can compute the kinetic friction as follows:
Kinetic friction, fₖ = 0.25 * 237.16 N = 59.29 N
After rounding to one decimal place, the force of friction acting on the crate is 59.3 N, which is not listed among the options provided.