A shopping bag can provide a force of 65.0 N before breaking. A shopper puts 5.00kg of groceries in the bag. If the shopper tries to lift the bag with an upward acceleration of 2.00 m/s/s, will be bag break?
Well, it seems like we have a shopaholic on our hands! Let's do some calculations to figure out if that shopping bag can handle the load.
First, we need to calculate the force required to lift the groceries. According to Newton's second law (F = ma), the force can be calculated by multiplying the mass (m = 5.00 kg) by the acceleration (a = 2.00 m/s^2). So, the force required to lift the groceries will be F = 5.00 kg * 2.00 m/s^2 = 10.00 N.
Now, comparing the force required (10.00 N) to the force the bag can handle before breaking (65.0 N), we can see that the force required is well below the bag's limit. So, no worries! The bag should be able to handle the groceries without breaking.
However, keep in mind that these calculations assume ideal conditions. So, if you find yourself needing a shopping bag reinforced with steel, then it might be time to reconsider your grocery priorities. Happy shopping!
To determine if the bag will break, we need to calculate the net force acting on the bag and compare it to the maximum force the bag can handle.
Step 1: Calculate the weight of the groceries.
The weight can be calculated using the formula: weight = mass × acceleration due to gravity.
The acceleration due to gravity is approximately 9.8 m/s².
weight = mass × acceleration due to gravity
= 5.00 kg × 9.8 m/s²
= 49.0 N
Step 2: Calculate the net force on the bag.
The net force acting on the bag can be calculated using Newton's second law of motion: force = mass × acceleration.
force = mass × acceleration
= 5.00 kg × 2.00 m/s²
= 10.0 N
Step 3: Compare the net force with the maximum force the bag can handle.
The net force of 10.0 N is less than the maximum force the bag can handle, which is 65.0 N.
Therefore, the bag will not break.
To determine whether the shopping bag will break or not, we need to calculate the force exerted by the groceries inside the bag and compare it with the maximum force the bag can withstand before breaking.
The force exerted by an object can be calculated using Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a), represented by the equation F = ma.
First, we need to calculate the force exerted by the groceries:
Mass of groceries (m): 5.00 kg
Acceleration (a): 2.00 m/s^2
F = ma
F = 5.00 kg * 2.00 m/s^2
F = 10.00 kg*m/s^2 (or 10.00 N)
The force exerted by the groceries is 10.00 N.
Now, we compare this force with the maximum force the bag can withstand before breaking, which is given as 65.0 N.
Since the force exerted by the groceries (10.00 N) is less than the maximum force the bag can withstand (65.0 N), the bag will not break under these conditions.
F - m g = m a
F = m ( g + a) = 5 (9.81 + 2) = 5 (11.81) = 59.05 Newtons
whew ! Close to yogurt all over the car seat.