the maximum force a grocery sack can with stand and not rip is 250 N. if 20 kg of groceries are lifted from the floor to the table with an acceleration of 5 m/s squared, will the sack hold?
Total force on the sack:
F = mass (total acceleration)
= mass (g + 5 m/s²) [not forgetting the weight]
= 20(9.8+5)
=20*14.8
= 296 N. >250 N
To determine if the sack will hold, we need to calculate the force exerted on the sack while lifting the groceries.
Step 1: Calculate the mass of the groceries
Given that the mass of the groceries is 20 kg.
Step 2: Calculate the force exerted on the groceries
The force exerted on the groceries can be calculated using the formula:
Force = mass * acceleration
Force = 20 kg * 5 m/s^2
Force = 100 N
Step 3: Compare the force exerted on the groceries with the maximum force the sack can withstand
Given that the maximum force the sack can withstand without ripping is 250 N, and the force exerted on the groceries is 100 N.
Since the force exerted on the groceries (100 N) is less than the maximum force the sack can withstand (250 N), the sack will be able to hold the groceries without ripping.
To determine whether the grocery sack will hold, we need to calculate the force exerted on the sack while lifting the groceries. The force exerted can be found using Newton's second law of motion:
F = m * a,
where F is the force, m is the mass, and a is the acceleration.
Given:
Mass of groceries (m) = 20 kg
Acceleration (a) = 5 m/s^2
Substituting these values into the equation, we can calculate the force:
F = 20 kg * 5 m/s^2
F = 100 N
The calculated force exerted on the grocery sack is 100 N.
Since the force exerted (100 N) is less than the maximum force the sack can withstand (250 N), the sack will hold.
A Newton is 1 kg * m / s^2.
The force here is 20 kg * 5m / s^2.
You should see it clearly from there.