Problemas
Unit 5 - Part 2 Centripetal acceleration Assessment POSS IBLE PO DINTS: 6. What is the centripetal force of a car with a mass of 1,500 kg that is moving with a velocity of 9m/s around a curve with a radius of 4 m? Hint: Find acceleration first then use that to find force. 120,375 12.375 30,375 54,375
Roztwór
Felipe
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Respuesta
30,375
Explicación
## Step 1: First, we need to calculate the centripetal acceleration. The formula for centripetal acceleration is given by:###
where:-
is the centripetal acceleration,-
is the velocity of the object, and-
is the radius of the circular path.## Step 2:Substitute the given values into the formula. The velocity
is 9 m/s and the radius
is 4 m.### \(a = \frac{(9 m/s)^2}{4 m} = 20.25 m/s^2\)## Step 3:Next, we calculate the centripetal force. The formula for centripetal force is given by:###
where:-
is the centripetal force,-
is the mass of the object, and-
is the centripetal acceleration.## Step 4:Substitute the calculated centripetal acceleration and the given mass into the formula. The mass
is 1500 kg and the centripetal acceleration
is 20.25 m/s^2.###