Response:
Jack's weight on the moon will be 26.52 pounds
Step-by-step explanation:
x = 156 (Weight on Earth)
y = 0.17 (Moon's gravity)
z = Your weight on the moon
x * y = z
156 * 0.17 = 26.52
Jack will weigh 26.52 pounds.
Let the coordinates of the points be P(h,k). Also, k = 3h + 1. The distance of point P from the origin is equal to the distance of P from (-3, 4). By setting these distances equal to one another and solving, we arrive at the solution.
= 0.1165 Step-by-step explanation: In statistics, the binomial distribution involves two possible outcomes. With ''n'' representing the number of trials in an experiment, these tables can be utilized to find the probability of achieving a specific number of successes within the experiment. P=14% = 0.14, n=30. Here, binomial distribution cumulative tables are applied. Thus, P(More than 7) = P(x > 7) = 1 - P(x < 7) = 1 - P(x ≤ 6) = 1 - 0.8835 = 0.1165.
The tension does not approach infinity.
<span>Let's analyze free body diagrams (FBDs) for each mass, considering the direction of motion of m₁ as positive.
For m₁: m₁*g - T = m₁*a
For m₂: T - m₂*g = m₂*a
Assuming a massless cord and pulley without friction, the accelerations are the same.
From the second equation: a = (T - m₂*g) / m₂
Substitute into the first:
m₁*g - T = m₁ * [(T - m₂*g) / m₂]
Rearranging:
m₁*g - T = (m₁*T)/m₂ - m₁*g
2*m₁*g = T * (1 + m₁/m₂)
2*m₁*m₂*g = T * (m₂ + m₁)
T = (2*m₁*m₂*g) / (m₂ + m₁)
Taking the limit as m₁ approaches infinity:
T = 2*m₂*g
This aligns with intuition since the greatest acceleration m₁ can have is -g. The cord then accelerates m₂ upward at g while gravity acts downward, leading to a maximum upward acceleration of 2*g for m₁.</span>
