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A 1000kgcar pushes a 2000kgtruck that has a dead battery. When the driver steps on the accelerator, the drive wheels of the car push against the ground with a force of 4500N. Rolling friction can be neglected.

a. What is the magnitude of the force of the car on the truck?

b. What is the magnitude of the force of the truck on the car?

Short Answer

Expert verified

a. The magnitude of the force of the car on the truck is3000N.

b. The magnitude of the force of the truck on the car is localid="1649447319209" 3000N.

Step by step solution

01

Part (a) Step 1 : Given information

Mass of car m1=1000kg, mass of truck m2=2000kg, applied force F=4500N.

02

Part (a) Step 2 : Calculation

The force of 4500Nis applied on the total mass (mass of car + mass of truck), with acceleration is given by :

F=maa=F/m1+m2a=4500N/(1000kg+2000kg)a=4500N/3000kga=1.5m/s2

From this, acceleration of truck and acceleration of car is same.

Now we have to find the force of the car on the truck . It will be equal to product of mass of truck and acceleration,

F=maF=2000kg1.5m/s2F=3000N

The magnitude of force of the car on truck is 3000N.

03

Part (a) Step 3 : Final answer

The magnitude of the force of the car on the truck3000N.

04

Part (b) Step 4 : Given information

Mass of car m1=1000kg, mass of truck m2=2000kg, applied force role="math" localid="1649449411813" F=4500N.

05

Part (b) Step 5 : Calculation

By Newton's 3rd Law, the force of the truck on the car must be equal but opposite to the force of the car on the truck.

The force of the truck is -3000Nand is applied in opposite direction to that of the force of the car.

The magnitude of force of the truck on car is 3000N.

06

Part (b) Step 6 : Final answer

The magnitude of the force of the truck on the car is3000N.

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