1. A 2,000 kilogram truck traveling at 60km/h strikes a tree and stops in 0.75 seconds. How large is the force that causes this to occur?
force*time=mass*changevelcity.
change 60km/hr to m/s
A 2,000 kilogram truck traveling at 60km/h strikes a tree and stops in 0.75 seconds. How large is the force that causes this to occur?
To calculate the force, we can use Newton's second law of motion, which states that force equals mass multiplied by acceleration:
Force = Mass × Acceleration
First, let's convert the truck's speed from km/h to m/s. Since 1 km = 1000 m and 1 hour = 3600 seconds:
Speed (m/s) = 60 km/h × (1000 m/1 km) × (1 h/3600 s) = 16.67 m/s
Next, we need to find the acceleration. The formula for acceleration is:
Acceleration = Change in velocity ÷ Time taken
Here, the change in velocity is equal to the initial velocity (since the truck stops):
Change in velocity = initial velocity - final velocity = 16.67 m/s - 0 m/s = 16.67 m/s
Substituting the values into the formula:
Acceleration = 16.67 m/s ÷ 0.75 s = 22.23 m/s²
Now we can calculate the force:
Mass of the truck = 2,000 kg
Acceleration = 22.23 m/s²
Force = Mass × Acceleration
Force = 2,000 kg × 22.23 m/s² = 44,460 Newtons
Therefore, the force that causes the truck to stop when it strikes the tree is 44,460 Newtons.
To calculate the force that causes this to occur, you can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration.
1. First, convert the speed of the truck from km/h to m/s. Since 1 km is equal to 1,000 m and 1 hour is equal to 3,600 seconds, you can divide 60 km/h by 3.6 to get the speed in m/s. In this case, the speed is 16.67 m/s.
2. Next, calculate the acceleration of the truck. To do this, use the formula: acceleration = change in velocity / time. In this case, the initial velocity of the truck is 16.67 m/s, and the final velocity is 0 m/s (since it stopped). The time taken for the truck to stop is 0.75 seconds. Therefore, the acceleration is calculated as (0 - 16.67) m/s / 0.75 s, which equals approximately -22.23 m/s^2. The negative sign indicates that the truck is decelerating.
3. Finally, calculate the force using the formula: force = mass * acceleration. In this case, the mass of the truck is 2,000 kg, and the acceleration is -22.23 m/s^2. Therefore, the force is calculated as 2,000 kg * (-22.23 m/s^2), which equals approximately -44,460 N.
So, the force that causes the truck to stop is approximately -44,460 Newtons, where the negative sign indicates that the force acts in the opposite direction to the motion of the truck.