Answer:
113.85 m
Explanation:
When the car is on the pavement:
v₀ = 0 m/s
a = 5.75 m/s²
t = 4.4 s
Find: Δx and v
Δx = v₀ t + ½ at²
Δx = (0 m/s) (4.4 s) + ½ (5.75 m/s²) (4.4 s)²
Δx = 55.66 m
v = at + v₀
v = (5.75 m/s²) (4.4 s) + 0 m/s
v = 25.3 m/s
When the car is in the mud:
v₀ = 25.3 m/s
v = 0 m/s
a = -5.5 m/s²
Find: Δx
v² = v₀² + 2aΔx
(0 m/s)² = (25.3 m/s)² + 2 (-5.5 m/s²) Δx
Δx = 58.19 m
The total displacement is therefore:
55.66 m + 58.19 m = 113.85 m
Answer:
20 kg
Explanation:
Kinetic energy=½*Mass * velocity²
4000= ½* m*20²
8000=400m
m=8000/400
m=20 kg
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It forms when l tectonical plates move away froem each other.
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Answer:
You need at least 2.8 s to slow down your car to 100 km/h. If we add reaction time (≅0.3 s), you will need 3.1 s.
Explanation:
Hi there!
The equation of velocity for an object moving in a straight line is the following:
v = v0 + a · t
Where:
v = velocity at time t.
v0 = initial velocity.
a = acceleration.
t = time.
We have to find the time at which the velocity is 100 km/h with a decceleration of 4.9 m/s² and an initial velocity of 149 km/h. Let´s first convert km/h into m/s:
149 km/h · (1000 m / 1 km) · ( 1 h / 3600 s) = 41.4 m/s
100 km/h · (1000 m / 1 km) · ( 1 h / 3600 s) = 27.8 m/s
Now, let´s solve the equation of velocity for the time:
v = v0 + a · t
(v - v0) / a = t
Replacing with the data:
(27.8 m/s - 41.4 m/s) / -4.9 m/s² = t
Notice that the acceleration is negative because you are slowing down.
t = 2.8 s
You need at least 2.8 s to slow down your car to 100 km/h. If we add reaction time (≅0.3 s), you will need 3.1 s.
The coefficient of kinetic friction for the rough horizontal surface is 0.66.
The given parameters;
- <em>mass of the object, m = 1 kg</em>
- <em>length of the inclined plane, L = 8 m</em>
- <em>angle of inclination of the plane, θ = 30⁰ </em>
- <em>distance traveled before hitting the spring, d₁ = 4 m</em>
- <em>distance traveled after hitting the spring, d₂ = 1.3 m</em>
- <em>the spring constant, k = 26.5 N/m</em>
Apply work-energy theorem; the work done the force of friction is equal to the energy stored in the spring.

Thus, the coefficient of kinetic friction for the rough horizontal surface is 0.66.
Learn more here:brainly.com/question/10063455