What is the acceleration, as a multiple of g, if this force is ap...

Question

What is the acceleration, as a multiple of g, if this force is applied to a 110 kg bicyclist? This is the combined mass of the cyclist and the bike.

Accepted Answer

Hey, everyone. So this problem is a pretty straightforward Newton Second law question. Let's see what they're asking us. So we have a truck of a given mass accelerated at 0.5 G. They're asking if the same force is used to accelerate an SUV of a different mass. We're asked to calculate the SUVs acceleration and told to express that acceleration as multiples of G. So we can recall from Newton's second law that F equals ma we're told that the same force is used for both of these bodies, the truck and the SUV. So we can write that as FT equals FS from there. We know that MT times A T equals MS times A that the mass of the truck and the acceleration of the truck is equal to the mass of the SUV times the acceleration of the SUV. We are being asked to solve for the acceleration of the SUV. So we'll just rearrange this equation to get us that variable isolated. And then from there, we can plug in everything that we know from the problem. So mass of the truck was given as 8900 kg, the acceleration of the truck is 0.5 G and the mass of the SUV is 2300 kg. We plug that in, we get 1.93 G and that's the answer to this one. It aligns with choice B. So B is correct here. That's all we have for this video. We'll see you in the next one.

What is the acceleration, as a multiple of g, if this force is applied to a 110 kg bicyclist? This is the combined mass of the cyclist and the bike.

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