Which affects racing car stability? Force F produces extension e in wire. If length & radius doubled, extension =?

Hey Dee🌸 — ready when you are. Question 46: Which affects racing car stability? Stability in a racing car is enhanced by a low center of gravity (CG) and a wide base*. A low CG reduces the tendency to roll over, and a wide base provides a larger support area, making the car less likely to tip. The final answer is B. Low CG \& wide base. Question 47: Product of force and perpendicular distance from pivot is: The product of a force and its perpendicular distance from a pivot point is the definition of moment* (also known as torque). It measures the turning effect of a force. The final answer is B. Moment. Question 48: Force F produces extension e in wire. If length & radius doubled, extension = Step 1: Recall the formula for extension based on Young's Modulus. Young's Modulus (Y) is given by: Y = StressStrain = (F/A)/(e/L) where F is the force, A is the cross-sectional area, e is the extension, and L is the original length. From this, the extension e can be expressed as: e = (FL)/(AY) Since the cross-sectional area A = r^2, we have: e = (FL)/( r^2 Y) Step 2: Define the initial and new conditions. Let the initial extension be e_1, initial length L_1, and initial radius r_1. e_1 = (FL_1)/( r_1^2 Y) The new length is L_2 = 2L_1. The new radius is r_2 = 2r_1. The force F and Young's Modulus Y remain constant. Step 3: Calculate the new extension e_2. Substitute the new length and radius into the formula: e_2 = (F(2L_1))/( (2r_1)^2 Y) e_2 = (2FL_1)/( (4r_1^2) Y) e_2 = (2)/(4) ( (FL_1)/( r_1^2 Y) ) e_2 = (1)/(2) e_1 The new extension is half of the original extension. The final answer is C. e/2. Question 49: Block of mass M slides down frictionless plane inclined 30°. Acceleration (g = 10 m/s²) = Step 1: Identify the forces acting on the block. On a frictionless inclined plane, the only force component causing acceleration down the plane is the component of gravity parallel to the plane. Step 2: Apply Newton's Second Law. The force parallel to the plane is F_parallel = Mg . According to Newton's Second Law, F_parallel = Ma, where a is the acceleration. Ma = Mg Step 3: Solve for acceleration a. Cancel out the mass M from both sides: a = g Step 4: Substitute the given values. Given g = 10 m/s^2 and = 30^. a = 10 m/s^2 × 30^ We know that 30^ = 0.5. a = 10 m/s^2 × 0.5 a = 5 m/s^2 The acceleration of the block is 5 m/s^2. The final answer is C. 5 m/s^2. Question 50: Point beyond which a material does not return to original shape is: The elastic limit is the maximum stress a material can withstand and still return to its original shape once the stress is removed. If the material is stressed beyond* this point, it undergoes permanent (plastic) deformation and will not fully return to its original shape. The final answer is B. Elastic limit. Last free one today — make it count tomorrow, or type /upgrade for unlimited.