Answer :
Final answer:
Given the net force and resulting acceleration, we use Newton's second law of motion (F = ma) to find the mass of the crate, which turns out to be 25 kg. If the weight was asked in Newtons, we would further multiply the mass by the gravitational acceleration.
Explanation:
The question refers to the concept of force and acceleration, governed mainly by Newton's second law of motion. Given the net force (100 N) acting on the crate and the resulting acceleration (4.0 m/s²), we can find the mass of the crate using the formula F = ma, where F is the force, m is the mass, and a is acceleration.
By rearranging the formula, we get m = F/a, so the mass of the crate will be 100 N / 4.0 m/s² = 25 kg. Therefore, the weight of the crate is 25 kg. Note that mass and weight are related by the gravitational acceleration (9.8 m/s² on Earth), so if we were asked for the weight in Newtons, we would multiply the mass by the gravitational acceleration to get the weight in Newtons (25 kg * 9.8 m/s2 = 245 N).
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Answer :
- 25 kg
Step-by-step explanation:
A crate is acted upon by a net force of 100 N. An acceleration of 4.0 m/s2 results.
Force = 100 N
Acceleration = 4.0 m/s²
We know that,
- Force = Mass × acceleration
On substituting the values we get,
→ 100 N = Mass × 4.0
→ Mass = 100/4
→ Mass = 25 kg
Therefore, Weight of the crate is 25 kg.
