Any two-dimensional vector in cartesian (x,y) coordinates can be broken down into individual horizontal and vertical components using trigonometry. If a train goes up a hill with 15 degree incline at a speed of 22 m/s, the horizontal component is 22cos(15)=21.3 m/s and the vertical component is 22sin(15)=5.5 m/s.
Answer:
110.7 J
Explanation:
Hooke's law is represented by the formula:
F = ke where F is the force in Newton, K is force constant and e is extension in m
work done = 1/2ke² = 1/2 K ( e² - e₀²) and e₀ is the extension at relaxed length
e₀ =0
work done = 0.5 × 82N/m × (2.70 m)² = 110.7 J
Answer: 4.19 N
Explanation: In order to determinate the tension applied on the wire we have to calculate the electric force between the conductor spheres connected by the wire.
As the wire is a conductor the spheres are at same potential so we have:
V1=V2
V1=k*Q1/r1 and V2=k*Q2/r2
where r1=r2, then
Q1=Q2
so the electric force is given by:
F=k*Q^2/d^2 where d is the distance between the spheres.
Finally replacing the values, we have
F=9*10^9(41*10^-6)^2/(1.9)^2= 4.19 N
Stop and look. always treat a railroad crossing with no lights or gates like a stop sign.
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