A grocery sack can withstand a maximum of 230 N before it rips. will a bag holding 15 kg of groceries that is lifted from the checkout counter at an acceleration of 7.0 m/s^2 hold?
this question has to do with force. thanks..
Moment
a + g = 7 + 9.8 = 16.8 m/s^2
F = 15 (16.8) = 252 N , bag tears
Ah, the age-old question of whether a grocery bag has what it takes to withstand the forces of grocery shopping. Well, let's get cracking!
First off, let's convert the 15 kg of groceries into Newtons. Since we all know that weight is just gravity acting on mass, we can multiply the mass by the acceleration due to gravity (which is approximately 9.8 m/s^2). So, 15 kg of groceries will give us a force of roughly 147 N.
Now, let's compare that to the maximum force the grocery sack can handle, which is 230 N. Looks like our bag is pretty safe and sound! It can handle the weight of those groceries without being ripped to shreds. Phew!
So, go ahead and load up that bag with confidence. Just be sure not to accidentally purchase any bowling balls or anvils – those can really put a strain on any bag, no matter how strong it claims to be!
To determine if the bag can hold the groceries without ripping, we need to calculate the force acting on the bag.
Step 1: Convert the mass of the groceries from kg to N using the formula F = m x g, where F is the force, m is the mass, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
F = 15 kg x 9.8 m/s^2
F = 147 N
Step 2: Calculate the net force acting on the bag using Newton's second law: F = m x a, where F is the net force, m is the mass, and a is the acceleration.
F = 15 kg x 7.0 m/s^2
F = 105 N
Step 3: Compare the net force calculated in Step 2 with the maximum force the bag can withstand.
The net force is 105 N, which is less than the maximum force of 230 N.
Conclusion: The bag holding 15 kg of groceries, lifted at an acceleration of 7.0 m/s^2, can hold the weight without ripping as the net force (105 N) is less than the maximum force the bag can withstand (230 N).
To determine whether the grocery sack can withstand the force exerted by the bag of groceries, we need to calculate the force generated by the bag of groceries and compare it to the maximum force the grocery sack can withstand.
Given:
Mass of groceries (m) = 15 kg
Acceleration (a) = 7.0 m/s^2
First, let's calculate the force exerted by the bag of groceries using Newton's second law of motion:
Force (F) = mass (m) * acceleration (a)
F = 15 kg * 7.0 m/s^2
F = 105 N
Therefore, the bag of groceries generates a force of 105 N.
To determine whether the grocery sack can withstand this force, we compare it to the maximum force the grocery sack can withstand, which is 230 N.
105 N < 230 N
Since the force generated by the bag of groceries (105 N) is less than the maximum force the grocery sack can withstand (230 N), we can conclude that the bag will hold without ripping.