Answer:
Speed, v = 7.83 m/s
Explanation:
It is given that,
Length of the bridge, l = 5 m
The road on the far side is 2.0 m lower than the road on this side, x = 2 m
The horizontal distance covered by the car is 5 meters and the vertical distance covered by the car is 2 meters.
Initial speed of the car, u = 0
Let t is the time taken by the car . Using the second equation of motion as :
For vertical distance :


Let v is the velocity to jump the stream. It is given by :
Horizontal distance, d = 5 m

v = 7.83 m/s
So, the car should travel with a speed of 7.83 m/s. Hence, this is the required solution.
Answer:
m = 0.59 kg.
Explanation:
First, we need to find the relation between the frequency and mass on a spring.
The Hooke's law states that

And Newton's Second Law also states that

Combining two equations yields

The term that determines the proportionality between acceleration and position is defined as angular frequency, ω.

And given that ω = 2πf
the relation between frequency and mass becomes
.
Let's apply this to the variables in the question.

Answer:
632.5 MPa
Explanation:
= Matrix stress at fiber failure = 10 MPa
= Volume fraction of fiber = 0.25
= Fiber fracture strength = 2.5 GPa
The longitudinal strength of a composite is given by

The longitudinal strength of the aligned carbon fiber-epoxy matrix composite is 632.5 MPa