Answer:
<h3>40.0 Joules. None of the answers is correct</h3>
Explanation:
Kinetic energy of an object is expressed as;
KE = 1/2mv² where;
m is the mass of the object
V is the velocity of the object.
Let Ma be the mass of the basketball and Mb be the mass of baseball.
If the mass of the basketball shown below is 4 times the mass of the baseball, then Ma = 4Mb
KE of the basket ball = 1/2MaVa²
Va² = 2(KE)a/Ma ...... 1
KE of the baseball = 1/2MbVb²
Vb² = 2(KE)b/Mb .......... 2
Since their velocities are the same, hence Va²= Vb²
2(KE)a/Ma = 2(KE)b/Mb
Substituting Ma = 4Mb into the resulting expression.
2(KE)a/4Mb = 2(KE)b/Mb
2(KE)a/4 = 2(KE)b
Given Kinetic energy of baseball (KE)b = 10.0J, the expression becomes;
2(KE)a/4 = 2(10)
2(KE)a = 4*20
2(KE)a = 80
(KE)a = 80/2
(KE)a = 40.0J
Hence the kinetic energy of the basketball is 40.0Joules
The current density of the copper wire is determined as (7.059 x 10⁸ A/m²)/L
<h3>Current density of the copper wire</h3>
The current density of the copper wire is calculated as follows;
J =1/ρ(E) = 1/ρ(V/L)
where;
- E is electric field
- V is voltage
- L is length of the wire
<h3>Current density the wire</h3>
J =1/ρ(E) = 1/ρ(V/L)
J = (1/1.7 x 10⁻⁸) x (12)/L
J = (7.059 x 10⁸ A/m²)/L
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Answer:
The horizontal component is 96.42 N
The vertical component is 114.91 N
Explanation:
A force 150 newtons is inclined at 50 degrees to the horizontal direction
We need to find its component in the horizontal and vertical directions
is the horizontal component
is the vertical component
Look to the attached figure:
The horizontal component is the product of F and cosine
the angle between F and the horizontal
The vertical component is the product of F and sine
the angle between F and the horizontal
→ = F cos(50)
→ = 150 cos(50)
→ = 96.42 N
→ = F sin(50)
→ = 150 sin(50)
→ = 114.91 N
<em>The horizontal component is 96.42 N</em>
<em>The vertical component is 114.91 N</em>