Answer:
1440 kg
Explanation:
There are two ways to solve this problem. One method is the work-energy theorem, which says the work done on an object is equal to the change in kinetic energy. The other method is to use kinematics to calculate the acceleration, then use Newton's second law of motion to find the mass.
Using work-energy theorem:
W = ΔKE
Fd = ½ mv²
m = 2Fd / v²
m = 2 (300 N) (15 m) / (2.5 m/s)²
m = 1440 kg
Alternatively, using kinematics to find the acceleration:
v² = u² + 2as
(2.5 m/s)² = (0 m/s)² + 2a (15 m)
a = 0.208 m/s²
From Newton's second law:
F = ma
m = F / a
m = (300 N) / (0.208 m/s²)
m = 1440 kg
