Physics, 25.10.2019 17:43 jagger68

Aproton (mass m 1.67 x 1027 kg) is being accelerated along a straight line at 1.4 x 1015 m/s2 in a machine. the proton has an initial speed of 2.4 x 107 m/s and travels 3.0 cm
(a) what is its speed? 25195237.6452 m/s
(b) what is the increase in its kinetic energy? 16366 ×

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Answer from: Rflaig1129841

Part a)

$v_f = 2.569 \times 10^7 m/s$

Part b)

$\Delta K = 7.014 \times 10^{-14} J$

Explanation:

Part a)

As we know that proton is accelerated uniformly so we can use kinematics here to find the final speed

so we know that

$v_i = 2.4 \times 10^7 m/s$

d = 3 cm

$a = 1.4 \times 10^{15} m/s^2$

so we will have

v_f^2 - v_i^2 = 2 a d

$v_f^2 - (2.4 \times 10^7)^2 = 2(1.4 \times 10^{15})(0.03)$

$v_f^2 = 6.6 \times 10^{14}$

$v_f = 2.569 \times 10^7 m/s$

Part b)

Now increase in kinetic energy is given as

$\Delta K = \frac{1}{2}m(v_f^2 - v_i^2)$

$\Delta K = \frac{1}{2}(1.67 \times 10^{-27})[(2.569 \times 10^7)^2 - (2.4 \times 10^7)^2]$

$\Delta K = 7.014 \times 10^{-14} J$

Answer from: Quest

the following is queen elizabeth’s purposes:

- to encourage the parliament that the technique of picking successors to the seat based merely on birthright needs to be reviewed.

- (not) to convince the parliament that her kid should not be measured as a likely choice for heir to the english power.

- to persuade the parliament that merely since she has a child does not assure that the kid will be a capable leader.

- to sway the parliament how shattering it could be if they proceeded discourteously concerning her or her child.

Answer from: Quest

m₁v₁ + m₂v₂ = (m₁ + m₂)vmomentum is conserved.the left-hand side of the equation represents the momentum in the system before the collision.the right-hand side represents the momentum in the system after the collisionm₁ and v₁ represents the mass and the velocity of the physics blockm₂ and v₂ represents the mass and velocity of the ball of puttyv represents the final velocity of the combined mass.the question states the two masses stick together. they combined mass has its own velocity with the body mass the sum of the two objects' massestheir combined momentum is (m₁ + m₂)vto find the magitude of (m₁ + m₂)v, we need to add the vectors on the left-hand side of the equation: m₁v₁ + m₂v₂.note the diagram. i have positioned the vectors in accordance with their directions.the magnitude of the resultant can be calculated using the pythagorean theorem since this is a right triangle situation (north and west are perpendicular)|(m₁ + m₂)v| = √[ (m₁v₁)² + (m₂v₂)² ]|(m₁ + m₂)v| = √[ (1.5kg·8.0m/s)² + (0.40kg·20m/s)² ]|(m₁ + m₂)v| = 14.4 kg m/sfor two significant figures (assuming that 20m/s is two), this rounds to 14 kg m/s

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Aproton (mass m 1.67 x 1027 kg) is being accelerated along a straight line at 1.4 x 1015 m/s2 in a m...

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